What is the limit as x approaches 0 of cos(2x)-1 ?

The limit as x approaches 0 of cos(2x)-1 is 0

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limit as x approaches 0 of cos(2x)-1

x \to 0 lim (cos (2 x) - 1)

0

Solution steps

x \to 0 lim (cos (2 x) - 1)

Plug in the value

x = 0

= cos (2 \cdot 0) - 1

Simplify

cos (2 \cdot 0) - 1 : 0

= 0

x \to 1.5 lim (\frac{7 x ^{2} + 14 x - 21}{3 - 2 x})

x \to - 1 lim (5 x^{2} - 3 x - 2)

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x \to 20 lim (x^{2} - 3 x + 4)

x \to \frac{π}{2} lim (\frac{x}{tan ( x )})

What is the limit as x approaches 0 of cos(2x)-1 ?
The limit as x approaches 0 of cos(2x)-1 is 0